We briefly review the different ab initio methods that have been introduced for the calculation of excited-state polarizabilities of molecules in solution. Emphasis is put on the conceptual differences between the methods, emphasizing the strengths and weaknesses of the different approaches. A general discussion of the use of dielectric continuum methods in the modeling of linear and non-linear electric properties of ground- and excited state polarizabilities is given. Particular attention is given to the notion of equilibrium and non-equilibrium solvation models. We discuss the results of the few theoretical calculations that have been presented in the literature at the time of this review, and also give a few new results.
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